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Finding the Fourth Proportional to 667.06, 915.65 and 591.73

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Solution

The fourth proportional to 667.06, 915.65 and 591.73 is: 812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.06 : 915.65 = 591.73 : x
  2. Step 2: Convert to fraction form
    667.06/915.65 = 591.73/x
  3. Step 3: Cross multiply
    667.06x = 915.65 × 591.73
  4. Step 4: Simplify right side
    667.06x = 541,817.57
  5. Step 5: Solve for x
    x = 541,817.57/667.06
  6. Step 6: Final answer
    x = 812.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.